226538208 has 216 divisors, whose sum is σ = 729100008. Its totient is φ = 68864256.

The previous prime is 226538177. The next prime is 226538231. The reversal of 226538208 is 802835622.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2729335 + ... + 2729417.

It is an arithmetic number, because the mean of its divisors is an integer number (3375463).

Almost surely, 2^226538208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364550004).

226538208 is an abundant number, since it is smaller than the sum of its proper divisors (502561800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226538208 is an frugal number, since it uses more digits than its factorization.

226538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 226538208 is about 15051.1862655407. The cubic root of 226538208 is about 609.6030813906.

The spelling of 226538208 in words is "two hundred twenty-six million, five hundred thirty-eight thousand, two hundred eight".